Verified Answer :

<1 = <2
vertical angles (congruent)

<3 = <2
corresponding angles (congruent)

so that: <1 = <2 = <3 = 112 degree

\(\text{Answer: }m\angle1=112\textdegree\)

Explanation:

Since we have given that

a║e and m║n

\(m\angle 3=112\textdegree\)

Since the lines are parallel to each other ,

we can say that

∠3 = ∠2        (∵ corresponding angles are equal)

so,

\(m\angle2=m\angle3=112\textdegree\\\)

and

∠2 = ∠1           (∵ vertically opposite angles are equal )

\(m\angle1=m\angle2=112\textdegree\)

Hence,

\(m\angle1=112\textdegree\)